Solve by completing the square: $$(x + 8)^2 - 5 = 0$$

$$x = -8 \\ x = -8 \\pm \\sqrt{5}$$

What does it mean to complete the square?

Completing the square is a method used to solve quadratic equations by rewriting them in the form $$(x - p)^2 = q$$ .

What is the discriminant in a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots of the equation.

What are imaginary numbers?

Imaginary numbers are numbers that can be written as $$bi$$ where $$b$$ is a real number and $$i$$ is the imaginary unit, defined as $$i = \sqrt{-1}$$ .

What is the vertex form of a quadratic function?

The vertex form is $$y = a(x - h)^2 + k$$ where (h, k) is the vertex of the parabola.

What is the axis of symmetry in a quadratic function?

The axis of symmetry is the vertical line that divides the parabola into two mirror images, given by $$x = -\frac{b}{2a}$$ .

What is the significance of the roots of a quadratic equation?

The roots of a quadratic equation are the x-values where the graph intersects the x-axis, indicating the solutions to the equation.

How do you factor a quadratic equation?

To factor a quadratic equation, find two numbers that multiply to $$c$$ and add to $$b$$ , then express it as $$(x - p)(x - q) = 0$$ .

What is the standard form of a quadratic function?

The standard form is $$f(x) = ax^2 + bx + c$$ where a, b, and c are constants.

Module 3 Final Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

x = 4 and x = 5

2.

FLASHCARD QUESTION

Front

Back

8

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

x = -6 and x = -1

6.

FLASHCARD QUESTION

Front

Definition of a quadratic equation

Back

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Relación e Importancia de la Epistemología con la Educación

Flashcard

•

University

10 questions

SUP E3 - PART 1

Flashcard

•

University

12 questions

Untitled Flashcards

Flashcard

•

University

12 questions

Present perfect Vs past tense

Flashcard

•

University

15 questions

Parts of speech: general review

Flashcard

•

11th - 12th Grade

10 questions

TARJETAS DIDÁCTICAS DOCTRINA POLICIAL

Flashcard

•

12th Grade

10 questions

Disney descendants flashcard

Flashcard

•

KG

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

20 questions

Central Angles and Arc Measures

Quiz

•

9th - 12th Grade

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

30 questions

Intro to Circles Vocabulary

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

11 questions

Multiplying by 6

Quiz

•

KG - 12th Grade

29 questions

Scatterplots & Correlation Coefficients

Quiz

•

6th - 12th Grade